MATH-105(a): Advanced analysis II - vector analysis

Lectures in this course (50)

Explores the properties and characterization of the Riemann integral on different sets and measurable sets.

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

Explores characterizations and generalizations of the Riemann integral, showcasing its properties and applications.

Covers variable bounds, convergence of integrals, and homomorphisms in advanced analysis.

Covers the calculation of definite integrals and different coordinate systems.

Introduces first-order scalar differential equations, higher-order equations, global solutions, and the selection process for equations.

Explores first-order linear equations, existence theorems, and integral solutions in differential equations.

Explores second-order linear scalar homogeneous equations in advanced analysis II.

Discusses characteristic polynomials, real roots selections, and tick equations.

Covers properties of integrals and differentiation, focusing on exercise solutions and function behavior.

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